Atkin-Lehner |
2- 3- 7+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
98406k |
Isogeny class |
Conductor |
98406 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1064960 |
Modular degree for the optimal curve |
Δ |
-150694181830050012 = -1 · 22 · 36 · 75 · 112 · 714 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-329555,75257551] |
[a1,a2,a3,a4,a6] |
Generators |
[1607:59972:1] |
Generators of the group modulo torsion |
j |
-5429735369103515625/206713555322428 |
j-invariant |
L |
9.9596636521682 |
L(r)(E,1)/r! |
Ω |
0.32287005473445 |
Real period |
R |
3.8559102493321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10934a1 |
Quadratic twists by: -3 |